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Advocard [28]
2 years ago
14

In diagram below, ab and bc are tangent to o. what is the measure of abc.

Mathematics
2 answers:
IgorLugansk [536]2 years ago
7 0

Answer:

Option A. will be the answer.

Step-by-step explanation:

It is given in the diagram attached, AB and BC are the tangents to circle O.

We have to find the measure of ∠ABC.

By the theorem,

Measure of ∠ABC which inscribed within the tangents will be =\frac{1}{2}(arcADC-arcAC)

=\frac{1}{2}(226-134)

=\frac{1}{2}(92)

= 46°

Option A. will be the answer.

hichkok12 [17]2 years ago
5 0

Check the picture below.

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  2×72/11.3 ≈ 12.7 . . . . years

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The "rule of 72" is an approximation. The actual quadrupling time for this interest rate and compounding is about 12.6 years. (The actual product of doubling time and nominal interest rate is about 71.25.)
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2 years ago
7. If W = 3Z, and Z is 30% of R, then W is what
dem82 [27]

Answer:

90%

Step-by-step explanation:

Let R = 100

Since, Z = 30% of R

Therefore, Z = 30% *100 = 30

Since, W = 3Z

Therefore, W = 3*30 = 90

Percentage of W of R

= \frac{Value \: of \: W}{Value \: of \: R} \times 100\\\\=\frac{90}{100} \times 100\\\\Percentage \:of \:W \:of \:R =90\%

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2 years ago
Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second. The distance dd (i
deff fn [24]
The answer to this question would be: 5 second

In this question, you are given the initial distance (300ft), car velocity(48ft/s) and the final distance(60ft). You are also given the equation to calculating the distance, so this question should be easier. The question is when the time where the distance is 60 ft. So the answer would be:

distance= 300-48t
60 = 300ft- 48t
48t= 300- 60=240
t= 5
7 0
2 years ago
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Colleen says she is thinking of a 4 digit number in which all the digits are the same. The value of the digit in the hundreds pl
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Hey there !

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7 0
2 years ago
Imogen sees a design for a garden in a magazine. She changes the scale because she wants a smaller garden. The figure below show
faust18 [17]

Answer:

Length A of the magazine garden is 28 feet is true.

Length B of the Magazine garden is 17.5 feet is true.

Length C of the Magazine garden is 35 feet is true.

Step-by-step explanation:

Please refer the attached figure.

Given:-

Magazine Scale is 1 inch = 3.5 feet.

Imogen's scale is 2 inches = 6 feet,

Therefore Imogen's scale is 1 inch = 3 feet.

In Triangle ABC,

side a = 8 inches, side b= 5 inches, side c= 10 inches.

To find:- The correct 3 options(actual size of sides of triangle  ABC).

Solution:-

In triangle ABC,

Let,

AB=side a =8 inches

BC=side b =5 inches

AC=side c= 10 inches

Now, as per the given scale's of Magazine and Imogen's we can find the actual sizes.

Length A as per Magazine scale (1 inch = 3.5 feet) is,

\therefore Length\ A=8\times 3.5   -------------(as per scale)

\therefore Length A=28\ feet

and Length A as per Imogen's scale(1 inch =3 feet) is,

AB = side a

\therefore Length\ A=8\times 3  -------------(as per scale)

\therefore Length A=24\ feet

Therefore Length A of the magazine garden is 28 feet is true.

Now, Length B as per Magazine scale (1 inch = 3.5 feet) is,

BC = side b

\therefore Length\ B=5\times 3.5

\therefore Length B=17.5\ feet

Length B as per Imogen's scale (1 inch = 3 feet) is,

BC = side b

\therefore Length\ B=5\times 3

\therefore Length B=15\ feet

Therefore Length B of the Magazine garden is 17.5 feet is true.

Now, Length C as per Magazine scale (1 inch = 3.5 feet) is,

AC = side c

\therefore Length\ C=10\times 3.5

\therefore Length C=35\ feet

Length B as per Imogen's scale (1 inch = 3 feet) is,

AC = side c

\therefore Length\ C=10\times 3

\therefore Length B=30\ feet

Therefore Length C of the Magazine garden is 35 feet is true.

8 0
2 years ago
Read 2 more answers
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